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using System;
using MathNet.Numerics;

namespace Examples.SpecialFunctionsExamples
{
    /// <summary>
    /// Special Functions: error functions
    /// </summary>
    public class ErrorFunction : IExample
    {
        /// <summary>
        /// Gets the name of this example
        /// </summary>
        public string Name
        {
            get
            {
                return "Special Functions: error functions";
            }
        }

        /// <summary>
        /// Gets the description of this example
        /// </summary>
        public string Description
        {
            get
            {
                return "Error function (Gauss error function or probability integral)";
            }
        }

        /// <summary>
        /// Run example
        /// </summary>
        /// <seealso cref="http://en.wikipedia.org/wiki/Error_function">Error function</seealso>
        public void Run()
        {
            // 1. Calculate the error function at point 2
            Console.WriteLine(@"1. Calculate the error function at point 2");
            Console.WriteLine(SpecialFunctions.Erf(2));
            Console.WriteLine();

            // 2. Sample 10 values of the error function in [-1.0; 1.0]
            Console.WriteLine(@"2. Sample 10 values of the error function in [-1.0; 1.0]");
            var data = Generate.LinearSpacedMap(10, -1.0, 1.0, SpecialFunctions.Erf);
            for (var i = 0; i < data.Length; i++)
            {
                Console.Write(data[i].ToString("N") + @" ");
            }

            Console.WriteLine();
            Console.WriteLine();

            // 3. Calculate the complementary error function at point 2
            Console.WriteLine(@"3. Calculate the complementary error function at point 2");
            Console.WriteLine(SpecialFunctions.Erfc(2));
            Console.WriteLine();

            // 4. Sample 10 values of the complementary error function in [-1.0; 1.0]
            Console.WriteLine(@"4. Sample 10 values of the complementary error function in [-1.0; 1.0]");
            data = Generate.LinearSpacedMap(10, -1.0, 1.0, SpecialFunctions.Erfc);
            for (var i = 0; i < data.Length; i++)
            {
                Console.Write(data[i].ToString("N") + @" ");
            }

            Console.WriteLine();
            Console.WriteLine();

            // 5. Calculate the inverse error function at point z=0.5
            Console.WriteLine(@"5. Calculate the inverse error function at point z=0.5");
            Console.WriteLine(SpecialFunctions.ErfInv(0.5));
            Console.WriteLine();

            // 6. Sample 10 values of the inverse error function in [-1.0; 1.0]
            Console.WriteLine(@"6. Sample 10 values of the inverse error function in [-1.0; 1.0]");
            data = Generate.LinearSpacedMap(10, -1.0, 1.0, SpecialFunctions.ErfInv);
            for (var i = 0; i < data.Length; i++)
            {
                Console.Write(data[i].ToString("N") + @" ");
            }

            Console.WriteLine();
            Console.WriteLine();

            // 7. Calculate the complementary inverse error function at point z=0.5
            Console.WriteLine(@"7. Calculate the complementary inverse error function at point z=0.5");
            Console.WriteLine(SpecialFunctions.ErfcInv(0.5));
            Console.WriteLine();

            // 8. Sample 10 values of the complementary inverse error function in [-1.0; 1.0]
            Console.WriteLine(@"8. Sample 10 values of the complementary inverse error function in [-1.0; 1.0]");
            data = Generate.LinearSpacedMap(10, -1.0, 1.0, SpecialFunctions.ErfcInv);
            for (var i = 0; i < data.Length; i++)
            {
                Console.Write(data[i].ToString("N") + @" ");
            }

            Console.WriteLine();
        }
    }
}